A functional identity of generalized transitivity for strongly dependent operations

Abstract We prove that a solution of functional equations of generalized transitivity for strongly dependent binary operations can be described similarly to the case of quasigroups by replacing the emerging group structure with a monoid. We also perform a generalization to the case of n -ary strongly dependent operations.

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Publication Details

Journal
Discrete Mathematics and Applications
Published
2025-10-01
DOI
https://doi.org/10.1515/dma-2025-0023
Primary Topic
Advanced Algebra and Logic
Type
article
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article

A functional identity of generalized transitivity for strongly dependent operations

A. V. Cheremushkin
Discrete Mathematics and Applications
Advanced Algebra and Logic
article

A functional identity of generalized transitivity for strongly dependent operations

A. V. Cheremushkin
article en

Abstract

Abstract We prove that a solution of functional equations of generalized transitivity for strongly dependent binary operations can be described similarly to the case of quasigroups by replacing the emerging group structure with a monoid. We also perform a generalization to the case of n -ary strongly dependent operations.

Discrete Mathematics and ApplicationsVol. 35(5)
Reduced inequalities
Openalex Percentile: Top 24%
Advanced Algebra and Logic
DOISourceOpenAlex
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A functional identity of generalized transitivity for strongly dependent operations — A. V. Cheremushkin · Discrete Mathematics and Applications (2025) | TGRS Research Map | TGRS